An object with a mass of #2 kg# is revolving around a point at a distance of #5 m#. If the object is making revolutions at a frequency of #4 Hz#, what is the centripetal force acting on the object?

1 Answer
A08
Jan 17, 2016

Centripetal Force #approx6316.547 N#, directed towards the center.

Explanation:

Use the following formula for calculating the centripetal force applicable for circular motion

#| vecF|= m r omega ^2#
where #m# is the mass of the object, #r# is the radius of the circle of motion and #omega # is the angular velocity.
#omega = 2 pi f#, where #f# is the frequency of rotation.

#implies | vecF|=4 pi^2 m r f ^2#

Plugging in the given values
# | vecF|=4 pi^2 xx 2 xx5xx 4 ^2#
# | vecF| approx6316.547 N#

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